Home / 10,822.14-16,234.50-10,231.65

Finding the Fourth Proportional to 10,822.14, 16,234.50 and 10,231.65

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Solution

The fourth proportional to 10,822.14, 16,234.50 and 10,231.65 is: 15,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.14 : 16,234.50 = 10,231.65 : x
  2. Step 2: Convert to fraction form
    10,822.14/16,234.50 = 10,231.65/x
  3. Step 3: Cross multiply
    10,822.14x = 16,234.50 × 10,231.65
  4. Step 4: Simplify right side
    10,822.14x = 166,105,760.29
  5. Step 5: Solve for x
    x = 166,105,760.29/10,822.14
  6. Step 6: Final answer
    x = 15,348.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.